Answer:
Option C, 14/21=9/21 is the proportion.
Step-by-step explanation:
Given:
a.5/7 = 10/12
b.9/15 = 12/18
c.4/6 = 8/12
d.14/21 = 9/12
We have to find the proportions.
In proportion two ratios are equal, as it has an equality sign in between so both side must be of same ratio in its simplest form.
Let's work with option C
⇒ 
To find the simplest form we have to divide the numerator and denominator with same digit (or its factor).
Simplest form of 
= 
, 
= 
Simplest form of =
Both sides in option C have equal ratios of 2/3.
So 4/6=8/12 is in proportion.
She would need to but 48 videos to get the cash prize. Hope this helps :)
1. The "triangle inequality" states that any of the sides of the triangle, is larger than the difference of the other 2 sides (the larger minus the smaller), and it is smaller than the sum of them.
2. So the third side of this triangle must be larger than 14-8=6 (in) and smaller than 14+8=22 (in)
3. So let a denote the remaining side, then 6 < a < 22, which means a can be any number in between 6 and 22 inches.
Answer: x < 4
Step-by-step explanation: When solving the inequality 3x - 3 < 9, just like an equation our first step is to isolate the <em>x</em> term which is 3x by adding 3 to both sides of the inequality.
On the left, -3 + 3 cancels and we have 3x.
Make sure to bring down the < sign.
On the right, 9 + 3 simplifies to 12.
So we have 3x < 12.
Now, divide both sides of the inequality by 3 to isolate <em>x</em>.
When we do that we get <em>x < 4</em>
So our answer is x < 4.
